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1100006138 = 271141832099
BaseRepresentation
bin100000110010000…
…1100001011111010
32211122212002202002
41001210030023322
54223100144023
6301052541002
736154616660
oct10144141372
92748762662
101100006138
11514a19990
12268481762
13146b8370a
14a6140c30
1566887b28
hex4190c2fa

1100006138 has 64 divisors (see below), whose sum is σ = 2133734400. Its totient is φ = 412886400.

The previous prime is 1100006137. The next prime is 1100006143. The reversal of 1100006138 is 8316000011.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1100006137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 523013 + ... + 525111.

It is an arithmetic number, because the mean of its divisors is an integer number (33339600).

Almost surely, 21100006138 is an apocalyptic number.

1100006138 is a deficient number, since it is larger than the sum of its proper divisors (1033728262).

1100006138 is a wasteful number, since it uses less digits than its factorization.

1100006138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243.

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 1100006138 is about 33166.3404372566. The cubic root of 1100006138 is about 1032.2820354938.

Adding to 1100006138 its reverse (8316000011), we get a palindrome (9416006149).

The spelling of 1100006138 in words is "one billion, one hundred million, six thousand, one hundred thirty-eight".

Divisors: 1 2 7 11 14 22 41 77 82 83 154 166 287 451 574 581 902 913 1162 1826 2099 3157 3403 4198 6314 6391 6806 12782 14693 23089 23821 29386 37433 46178 47642 74866 86059 161623 172118 174217 262031 323246 348434 524062 602413 946649 1204826 1219519 1893298 1916387 2439038 3832774 6626543 7142897 13253086 13414709 14285794 26829418 50000279 78571867 100000558 157143734 550003069 1100006138